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On minimal blocking sets

✍ Scribed by Jürgen Bierbrauer

Book ID
112501623
Publisher
Springer
Year
1980
Tongue
English
Weight
321 KB
Volume
35
Category
Article
ISSN
0003-889X

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📜 SIMILAR VOLUMES

On large minimal blocking sets in PG(2,q
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✍ Tamás Szőnyi; Antonello Cossidente; András Gács; Csaba Mengyán; Alessandro Sicil 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 172 KB 👁 1 views

## Abstract The size of large minimal blocking sets is bounded by the Bruen–Thas upper bound. The bound is sharp when __q__ is a square. Here the bound is improved if __q__ is a non‐square. On the other hand, we present some constructions of reasonably large minimal blocking sets in planes of non‐p

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## Abstract Bruen and Thas proved that the size of a large minimal blocking set is bounded by $q \cdot {\sqrt{q}} + 1$. Hence, if __q__ = 8, then the maximal possible size is 23. Since 8 is not a square, it was conjectured that a minimal blocking 23‐set does not exist in PG(2,8). We show that this

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on small minimal blocking sets in P G(2, p 3 ), p prime, p ≥ 7, to small minimal blocking sets in P G(2, q 3 ), q = p h , p prime, p ≥ 7, with exponent e ≥ h. We characterize these blocking sets completely as being blocking sets of Rédei-type.